(*)If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =
(*)
If tan A =(x sin B )/(1-xcosB) and tan B =( y sin A) / (1-y cos A) then sin A / sin B =
laxman , 11 Years ago
Grade 11
Trigonometry> (*) If tan A =(x sin B )/(1-xcosB) and ta...
1 AnswersY RAJYALAKSHMI
tanA = xsinB/(1 – xcosB) = > cotA = (1 – xcosB)/xsinB = 1/xsinB – cotB
cotA + cot B = 1/xsinB …......(1)
tanB = ysinA / (1 – ycosA) => cotB = (1 – ycosA)/ysinA = 1/ysinA – cotA
cotB + cotA = 1/ysinA …......(2)
from (1) & (2), we get
1/xsinB = 1/ysinA
=> sinA/sinB = x/y
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